What is the Greatest Common Factor of 29016 and 29029?

Greatest common factor (GCF) of 29016 and 29029 is 13.

GCF(29016,29029) = 13

We will now calculate the prime factors of 29016 and 29029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29016 and 29029.

How to find the GCF of 29016 and 29029?

We will first find the prime factorization of 29016 and 29029. After we will calculate the factors of 29016 and 29029 and find the biggest common factor number .

Step-1: Prime Factorization of 29016

Prime factors of 29016 are 2, 3, 13, 31. Prime factorization of 29016 in exponential form is:

29016 = 2³ × 3² × 13¹ × 31¹

Step-2: Prime Factorization of 29029

Prime factors of 29029 are 7, 11, 13, 29. Prime factorization of 29029 in exponential form is:

29029 = 7¹ × 11¹ × 13¹ × 29¹

Step-3: Factors of 29016

List of positive integer factors of 29016 that divides 29016 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 31, 36, 39, 52, 62, 72, 78, 93, 104, 117, 124, 156, 186, 234, 248, 279, 312, 372, 403, 468, 558, 744, 806, 936, 1116, 1209, 1612, 2232, 2418, 3224, 3627, 4836, 7254, 9672, 14508

Step-4: Factors of 29029

List of positive integer factors of 29029 that divides 29016 without a remainder.

1, 7, 11, 13, 29, 77, 91, 143, 203, 319, 377, 1001, 2233, 2639, 4147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29016 and 29029. The biggest common factor number is the GCF number.
So the greatest common factor 29016 and 29029 is 13.

Also check out the Least Common Multiple of 29016 and 29029